SOLUTION: Okay, I am so lost. Please help me with these? Write as the sum or difference of a single logarithms of x,y and z: __ log 8{(3x^3/y ) /z^5 } and Solve for x

Algebra ->  Radicals -> SOLUTION: Okay, I am so lost. Please help me with these? Write as the sum or difference of a single logarithms of x,y and z: __ log 8{(3x^3/y ) /z^5 } and Solve for x      Log On


   

Question 38973: Okay, I am so lost. Please help me with these?
Write as the sum or difference of a single logarithms of x,y and z:
__
log 8{(3x^3/y ) /z^5 }
and
Solve for x: log10^7=log 10^x-log10^2

Please help me in detail so I can understand these?
Thank you.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C3x%5E3%2Fyz%5E5%29
log%288%2C3x%5E3%29-log%288%2Cy%29-log%288%2Cz%5E5%29
--------------------------------------------------------
log%2810%5E7%29=log%2810%5Ex%29-log%2810%5E2%29
7log%2810%29=xlog%2810%29-2log%2810%29
7=x-2
9=x
I have a lesson on logarithms that will help you.